Question

Which expression is equivalent to x-5 / (x-5)(x-4)

Answer 1

When you cancel the (x - 5) from the top and bottom, you are left with 1/(x - 4).

Answer 2

`(1)/(x-4)`

Explanation:

The given expression is

`(x-5)/((x-5)(x-4))`

We need to find an expression which is equivalent to the given expression.

In the given expression (x-5) is common in numerator and denominator.

The given expression can be written as

`(x-5)/(x-5)* (1)/(x-4)`

Cancel out the common factors.

`1* (1)/(x-4)`

`(1)/(x-4)`

Therefore, the expression
`(1)/(x-4)` is equivalent to the given expression.